Abstract
Some estimates for the Poincaré metric of a planar domain are obtained in terms of the radial projection of the complement of the domain onto the unit circle. These estimates allow us, in particular, to strengthen the well-known Lavrent'ev theorem on the product of conformal radii of nonoverlapping domains. The proofs use the polarization transformation.
Original language | English |
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Pages (from-to) | 2267-2275 |
Number of pages | 9 |
Journal | Journal of Mathematical Sciences |
Volume | 95 |
Issue number | 3 |
DOIs | |
State | Published - 1999 |